Question

Determine whether the functions ƒ(𝑥) = √4−𝑥2 is continuous on the interval

 [−4,4]. Show your complete solution.

Answer 1

$f\left( x \right) =\sqrt{4-x^2}$ is not defined on [-4,4], since $4-4^2<0$ . Hence it is not continuous on the interval.